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3 years ago

9

Sarah planted two1 acre gardens one had three sections of flowers and the other had 4 sections of flowers she plans to divide bo

th garden into more sections so that they have the same number of equal sized section how many sections will each garden have

2 answers:

EastWind [94]3 years ago

8 0

Each garden will have 12 sections of flowers

sertanlavr [38]3 years ago

3 0

Answer:I AGREE

Step-by-step explanation:

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Sally has 56 stamps. Sarah has 3 times as many stamps as Sally. Their brother , Peter has 45 stamps less than Sarah. How many st

aleksandr82 [10.1K]

Answer:

peter will have 123 stamps.

Step-by-step explanation:

This is because 53 times 3 is 159. Sarah has 159 stamps. Subtract 45 from 159 and you will get 123.

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2 years ago

Read 2 more answers

An 80-m tower is supported by a guy wire attached to the top of the tower. If the wire forms an

nalin [4]

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The length of the wire is 81.5 meters.

<h3>What is Sine (Sinθ)?</h3>

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

The length of the tower is 80 meters, while the angle of elevation is 79°. Therefore, the length of the wire will be the hypotenuse of the triangle. Therefore, the length of the wire is,

Sin(θ) = Perpendicular/Hypotenuse

Sin(79°) = 80 meter/Length of the wire

Length of the wire = 81.4973 ≈ 81.5 meters

Hence, the length of the wire is 81.5 meters.

Learn more about Sine:

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2 years ago

A mouse is traveling at a rate of 100 feet per hour. One half hour later, a snake smells the

Arlecino [84]

Let, snake catches the mouse in t hours. Till then mouse is travelling from

( t + 1.5 ) hours.

Distance, travelled by mouse in t hours is, $d = 100(t+ 1.5)$ .

To catch the mouse snake had to travel the same distance d in t hours.

So,

$200t = 100( t + 1.5 )\\\\2t = t + 1.5\\\\t = 1.5 \ hours$

Therefore, snake will catch mouse in 1.5 hours.

5 0

3 years ago

Solve x2 + 14x + 17 = –96 for x

jarptica [38.1K]

For this case we have to:

Given the quadratic equation of the form:

$ax ^ 2 + bx + c = 0$

The roots are given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

If we have: $x ^ 2 + 14x + 17 = -96$

We can rewrite it in the following way:

$x ^ 2 + 14x + 17 + 96 = 0\\x ^ 2 + 14x + 113 = 0$

Where:

$a = 1\\b = 14\\c = 113$

Where we have:

$x = \frac {-14 \pm \sqrt {(14) ^ 2-4 (1) (113)}} {2 (1)}$

$x = \frac {-14 \pm \sqrt {(196-452)}} {2}$

$x = \frac {-14 \pm \sqrt {-256}} {2}$

By definition: $\sqrt {-1} = i$

$x = \frac {-14 \pm \sqrt {256} i} {2}$

$x = \frac {-14 \pm16i} {2}$

$x = \frac {-14} {2} \pm \frac {16i} {2}$

$x = -7 \pm8i$

Thus, the roots are given by imaginary numbers:

$x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i$

Answer:

$x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i$

5 0

2 years ago

Read 2 more answers

Suppose we have a right triangle with legs of length a and b and hypotenuse of length c. Suppose b=3 and c=5. Then a= , For the

ANTONII [103]

Answer:

Length of right-angle triangle 'a' = 4

b)

<u><em></em></u> $sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}$ <u><em></em></u>

<u><em></em></u> $cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}$ <u><em></em></u>

<u><em></em></u> $tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}$ <u><em></em></u>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given b = 3 and hypotenuse c = 5

Given ΔABC is a right angle triangle

By using pythagoras theorem

c² = a² + b²

⇒ a² = c² - b²

⇒ a² = 5²-3²

=25 - 9

a² = 16

⇒ a = √16 = 4

The sides of right angle triangle a = 4 ,b = 3 and c = 5

<u><em>Step(ii):-</em></u>

<u><em></em></u> $sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}$ <u><em></em></u>

<u><em></em></u> $cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}$ <u><em></em></u>

<u><em></em></u> $tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}$ <u><em></em></u>

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2 years ago